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Page 8478 of Mathematical Reviews Vol. , Issue 99m
[page]
1999
Mathematical Reviews
The paper is devoted to the study of the existence of almost periodic (AP), pseudo almost periodic (PAP) and generalized pseudo almost periodic (PAP) solutions of equation (*«) by means of exponential ...
The author is concerned with proving the existence of multiple positive solutions for a (k,n — k)-conjugate boundary value prob- lem for an nth-order difference equation. ...
Page 4089 of Mathematical Reviews Vol. , Issue 83j
[page]
1983
Mathematical Reviews
Elbert, A half-linear second order differential equation (pp. 153-180); J. Elias, On the solutions of nth order differential equation in L?(0,00) (pp. 181-191); L. ...
Yamaguchi, Almost periodic solutions of some wave equations with Dirichlet boundary values (pp. 1061-1074); O. ...
Page 478 of Mathematical Reviews Vol. 55, Issue 2
[page]
1978
Mathematical Reviews
Let dx/dz=A(z)x be an nth order system corresponding to an nth order linear equation with coefficients analytic in a domain D of the complex z-plane. ...
All components of the asymptotic solution are found by
solving the corresponding boundary value problems for systems 7 of differential equations whose order does not exceed 2n. ...
Page 2970 of Mathematical Reviews Vol. , Issue 86g
[page]
1986
Mathematical Reviews
L. 86g:34095 Existence of periodic solutions of an nth-order nonlinear differential equation with delay.
(Russian) Differential equations and some of their applications, 9-15, Tyumen. Gos. ...
Author summary (translated from the Russian): “We consider
nth-order nonlinear ordinary differential equations with retarded
argument and prove for them certain theorems on the existence of periodic solutions ...
Page 772 of Mathematical Reviews Vol. , Issue 92b
[page]
1992
Mathematical Reviews
linear systems of differential equations with almost periodic coefficients under random perturbations. ...
E. (2-ODE)
On the stability in the critical case of a zero root and of a pair of purely imaginary roots of a nonautonomous nth order quasilinear equation. ...
Page 367 of Mathematical Reviews Vol. 36, Issue 2
[page]
1968
Mathematical Reviews
F. 1770 Stability criteria for nth order, homogeneous linear dif- ferential equations.
Differential Equations and Dynamical Systems (Proc. Internat. Sympos., Mayaguez, P.R., 1965), pp. 309-321. ...
J 1772 A sufficient test for the stability of the trivial solution of a third-order differential equation with periodic coeffi- cients. (Russian)
Differencial’nye Uravnenija 3 (1967), 1707-1717. ...
Page 1009 of Mathematical Reviews Vol. , Issue 2003B
[page]
2003
Mathematical Reviews
1009 34K Functional-differential and differential-difference equations
if <0. ...
George Seifert (1-[ASU; Ames, IA)
2003b:34144 34K13 34C25 Wang, Gen-Qiang; Cheng, Sui Sun (RC-NTHU; Hsinchu) Periodic solutions of nth order delay Rayleigh equations. (English summary) Ann. Polon. ...
Page 3397 of Mathematical Reviews Vol. , Issue 2003e
[page]
2003
Mathematical Reviews
G. (1-MRQT-MS; Milwaukee, WI)
Oscillation of nth order forced functional differential equations. Math. Nachr. 238 (2002), 103-112. ...
in any sufficiently small neighbourhood of this orbit
the perturbed system has a unique almost periodic solution.” ...
Page 5105 of Mathematical Reviews Vol. , Issue 94i
[page]
1994
Mathematical Reviews
Ovide Arino (F-PAU; Pau)
34K Functional-differential and differential-difference equations
94i:34152
94i:34149 34K15 34K40
Zhang, Shun Nian [Zhang, Shu Nian] (PRC-ANH; Hefei) Oscillations of nth order ...
Differential Equations 9 (1993), no. 3, 375-391. Consider the nth order mixed neutral equations
n k S™x(0) — e(t)x(t— A) (-1)"" So pil) file — 01(t)) =0,
i=1
i k ox) —cx(t—r)]+(-1)"*! Dix —t)=0. ...
Page 795 of Mathematical Reviews Vol. , Issue 94b
[page]
1994
Mathematical Reviews
perturbations of boundary value problems for a class of third-order partial differential equations with degenerate elliptic limit equations. ...
Summary: “We present and discuss three theorems concerning the Lyapunov stability of certain time almost-periodic solutions to parabolic partial differential equations of reaction-diffusion type on R”. ...
Page 48 of Mathematical Reviews Vol. 32, Issue 1
[page]
1966
Mathematical Reviews
On asymptotic stability of almost periodic systems. J. Differential Equations 1 (1965), 234-239. ...
in the neighborhood of a singularity ; invariant varieties and varieties transformed into themselves by systems of periodic differential equa- tions of the third order ; perturbed systems in the case ...
Page 71 of Mathematical Reviews Vol. 38, Issue 1
[page]
1969
Mathematical Reviews
Author’s summary: “A perturbed third-order system of
differential equations, containing a rapidly rotating phase,
is considered. ...
Finally, the existence of a unique almost-periodic solution in A of x” =f(z, x’, t) is proved under hypotheses which include the following: f(z, y, t) is uniformly almost-periodic on A x R, and there exist ...
Page 1462 of Mathematical Reviews Vol. , Issue 95c
[page]
1995
Mathematical Reviews
Joél Blot (F-PARIS7-MI; Paris)
95¢:34081 34C27 34A30 35B15 35K55 42A75
Zhang, Chuan Yi (3-WON; London, ON)
Pseudo-almost-periodic solutions of some differential equations. (English summary)
J. Math. ...
In the present paper the authors study the nth order differen- tial equation (+) y+ 7-5 Ac(t)y™ = e(t.y,y’,---,y""), where tc: Ry — R is continuous for k = 0,1,---,n—1 and g is continu- ous from R, x R ...
Page 1056 of Mathematical Reviews Vol. 50, Issue 4
[page]
1975
Mathematical Reviews
P. 7672 On the oscillation of solutions of a nth-order differential equation. Yokohama Math. J. 22 (1974), 1-9. ...
Differential Equations 10 (1971), 529-537; MR 44 #5595] for the equation y” =f(x, y), but the method of proof here is somewhat different and permits the consideration of equations of arbitrary order and ...
Page 460 of Mathematical Reviews Vol. 57, Issue 2
[page]
1979
Mathematical Reviews
Masterkov, Reduction of certain systems of difference equations with periodic and almost periodic coefficients to systems with
constant coefficients (pp. 82-88); F. A. ...
Masterkov, Singularly perturbed systems of ordinary differential equations with periodic coefficients (pp. 41-57); V. V. ...
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